What is the Least Common Multiple of 18079 and 18092?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 18079 and 18092 is 327085268.
LCM(18079,18092) = 327085268
Least Common Multiple of 18079 and 18092 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18079 and 18092, than apply into the LCM equation.
GCF(18079,18092) = 1
LCM(18079,18092) = ( 18079 × 18092) / 1
LCM(18079,18092) = 327085268 / 1
LCM(18079,18092) = 327085268
Least Common Multiple (LCM) of 18079 and 18092 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18079 and 18092. First we will calculate the prime factors of 18079 and 18092.
Prime Factorization of 18079
Prime factors of 18079 are 101, 179. Prime factorization of 18079 in exponential form is:
18079 = 1011 × 1791
Prime Factorization of 18092
Prime factors of 18092 are 2, 4523. Prime factorization of 18092 in exponential form is:
18092 = 22 × 45231
Now multiplying the highest exponent prime factors to calculate the LCM of 18079 and 18092.
LCM(18079,18092) = 1011 × 1791 × 22 × 45231
LCM(18079,18092) = 327085268
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